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Finding the Fourth Proportional to 15,542.99, 23,322.74 and 6,778.59

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Solution

The fourth proportional to 15,542.99, 23,322.74 and 6,778.59 is: 10,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.99 : 23,322.74 = 6,778.59 : x
  2. Step 2: Convert to fraction form
    15,542.99/23,322.74 = 6,778.59/x
  3. Step 3: Cross multiply
    15,542.99x = 23,322.74 × 6,778.59
  4. Step 4: Simplify right side
    15,542.99x = 158,095,170.78
  5. Step 5: Solve for x
    x = 158,095,170.78/15,542.99
  6. Step 6: Final answer
    x = 10,171.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.